A160866 - OEIS

%I #17 Oct 21 2019 10:55:18

%S 0,512,2247613027,721886012928,35730104198198,699102769400320,

%T 7778198710037097,59067959750815232,340263076646454508,

%U 1589596507531473408,6299974404043220015,21868102945021138432

%N 512*P_11(n), 512 times the Legendre polynomial of order 13 at n.

%H G. C. Greubel, <a href="/A160866/b160866.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (14,-91,364,-1001,2002,-3003,3432,-3003,2002,-1001,364,-91,14,-1).

%F G.f.: x*(512 + 2247605859*x + 690419477142*x^2 + 25828232616295*x^3 + 263754807172680*x^4 + 981682771377846*x^5 + 1503880076779332*x^6 + 981682771377846*x^7 + 263754807172680*x^8 + 25828232616295*x^9 + 690419477142*x^10 + 2247605859*x^11 + 512*x^12) / (1 - x)^14. - _Colin Barker_, Oct 21 2019

%t Table[512*LegendreP[13, n], {n,0,50}] (* _G. C. Greubel_, Apr 30 2018 *)

%o (PARI) a(n)=pollegendre(13,n)<<9 \\ _Charles R Greathouse IV_, Oct 26 2011

%o (PARI) concat(0, Vec(x*(512 + 2247605859*x + 690419477142*x^2 + 25828232616295*x^3 + 263754807172680*x^4 + 981682771377846*x^5 + 1503880076779332*x^6 + 981682771377846*x^7 + 263754807172680*x^8 + 25828232616295*x^9 + 690419477142*x^10 + 2247605859*x^11 + 512*x^12) / (1 - x)^14 + O(x^15))) \\ _Colin Barker_, Oct 21 2019

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Nov 19 2009